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Original solutions to past examinations of the numerical solutions of partial differential equations course of the University of Oxford, using finite difference methods, energy estimates and Fourier stability analysis.

Original solutions to all three questions of the numerical solutions of partial differential equations course of the University of Oxford Part B examination, held on 6 June 2023. Source: original released PDF, bundle pages 292–295; paper pages 1–4. The numbering follows the paper. In 3(e), the growth constant must be allowed to depend on the mesh; the literal mesh-independent assertion in the native PDF is false. The corrected result and the intended failure of practical stability of a finite difference scheme are proved below.